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math.PR2019
Derivative Formulas in Measure on Riemannian Manifolds
Panpan Ren, Feng-Yu Wang
We characterise the link of derivatives in measure, which are introduced in [AKR,Card,ORS] respectively by different means, for functions on the space of finite measure…
math.PR2019
Linearization of Nonlinear Fokker-Planck Equations and Applications
Panpan Ren, Michael Rockner, Feng-Yu Wang
We associate a coupled nonlinear Fokker-Planck equation on , i.e. with solution paths in $\scr P$, to a linear Fokker-Planck equation for probability measures on the product…
math.PR2019
Spectral Gap for Measure-Valued Diffusion Processes
Panpan Ren, Feng-Yu Wang
The spectral gap is estimated for measure-valued diffusion processes induced by the intrinsic/extrinsic derivatives on the space of finite measures over a Riemannian manifold. This…